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Finding the Fourth Proportional to 2,556.54, 3,834.54 and 824.76

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Solution

The fourth proportional to 2,556.54, 3,834.54 and 824.76 is: 1,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.54 : 3,834.54 = 824.76 : x
  2. Step 2: Convert to fraction form
    2,556.54/3,834.54 = 824.76/x
  3. Step 3: Cross multiply
    2,556.54x = 3,834.54 × 824.76
  4. Step 4: Simplify right side
    2,556.54x = 3,162,575.21
  5. Step 5: Solve for x
    x = 3,162,575.21/2,556.54
  6. Step 6: Final answer
    x = 1,237.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.